Math Problem Statement
a cable 10 cm in diameter has a strength of 1018.6 MPa and the design engineer has specified a factor of safety of 2. what is the maximum allowable mass the cable can support?
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry (Circular Cross-Section)
Strength of Materials
Force and Mass Relationship
Safety Factor
Formulas
Area of a circle: A = πr^2
Allowable stress: σ_allowable = σ_material / FS
Force: F_max = σ_allowable × A
Mass: F_max = m_max × g
Theorems
Newton's Second Law of Motion
Suitable Grade Level
Undergraduate Engineering
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